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ERIC Number: EJ862751
Record Type: Journal
Publication Date: 2009-Nov
Pages: 6
Abstractor: ERIC
Reference Count: 5
ISSN: ISSN-0025-5769
Soft Drinks, Mind Reading, and Number Theory
Schultz, Kyle T.
Mathematics Teacher, v103 n4 p278-283 Nov 2009
Proof is a central component of mathematicians' work, used for verification, explanation, discovery, and communication. Unfortunately, high school students' experiences with proof are often limited to verifying mathematical statements or relationships that are already known to be true. As a result, students often fail to grasp the true nature of what it means to do mathematics. In response to this deficiency, NCTM (2000) has stated clearly that "reasoning and proof are not special activities reserved for special times or special topics in the curriculum but should be a natural, ongoing part of classroom discussions" (p. 342). This article presents a classroom discussion of a mathematical idea that arose spontaneously but that could be used purposefully as a mechanism to develop students' conceptions of proof and the nature of mathematical work. (Contains 2 tables and 1 figure.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A